最近證明出三維度規範邊界滿足升序鏈條件，並且完整刻劃在(1/2,1)開區間之三維度規範邊界。此計畫為最近工作的延伸，嘗試找出所有三維度規範邊界，以及尋找滿足升序鏈條件的應用，並考慮再加入邊界(X,B)情況的應用。 ;In my recent work, I show the ACC for threefold canonical thresholds and derive that threefold canonical thresholds in the open interval (1/2, 1) consists of \{ \frac{1}{2}+\frac{1}{n}\}_{n \ge 3} \cup \{ \frac{4}{5}\}. In this project, I study the characterization of threefold canonical thresholds and its applications. Also, I hope to generalize the ACC for threefold canonical thresholds to pair (X,B) and study its applications.
